用非晶和微扰晶格模型大尺度模拟I型断裂中的微分支
Microbranching in mode-I fracture using large scale simulations of amorphous and perturbed lattice models
摘要：
我们研究了高速政权模式-I断裂不稳定性时，小微分支开始出现在主裂纹附近，使用大规模模拟。这些microbranches的一些功能已在较小规模的研究（使用${\cal O}(10^4)$原子）上的无定形材料的模型（通过连续随机网络模型）和使用扰动晶格模型的定性再现。在这项研究中，更大规模的模拟（${\cal O}(10^6)$原子）进行了使用多线程计算的GPU设备上，以实现更逼真的物理结果。首先，我们发现微分支模式似乎是收敛与晶格宽度。其次，模拟再现的增长的微分支的大小作为裂纹速度的函数，以及作为裂纹速度的函数的电阻RMS相对于时间的导数的幅度的增加。此外，模拟产生正确的分支角的微分支，和权力的法律管理的微分支的形状似乎低于一，使侧裂纹转向的方向上的主裂纹的传播，如在实验中看到的。
英文摘要：
We study the high-velocity regime mode-I fracture instability when small microbranches start to appear near the main crack, using large scale simulations. Some of the features of those microbranches have been reproduced qualitatively in smaller scale studies (using ${\cal O}(10^4)$ atoms) on both a model of an amorphous materials (via the continuous random network model) and using perturbed lattice models. In this study, larger scale simulations (${\cal O}(10^6)$ atoms) were performed using multi-threading computing on a GPU device, in order to achieve more physically realistic results. First, we find that the microbranching pattern appears to be converging with the lattice width. Second, the simulations reproduce the growth of the size of a microbranch as a function of the crack velocity, as well as the increase of the amplitude of the derivative of the electrical resistance RMS with respect to the time as a function of the crack velocity. In addition, the simulations yield the correct branching angle of the microbranches, and the power law governing the shape of the microbranches seems to be lower than one, so that the side cracks turn over in the direction of propagation of the main crack as seen in experiment.
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